-5.376=ln((7000-x)/(6999x))

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Solution for -5.376=ln((7000-x)/(6999x)) equation:


D( x )

(7000-x)/(6999*x) <= 0

6999*x = 0

(7000-x)/(6999*x) <= 0

(7000-x)/(6999*x) <= 0

( 6999*x )

6999*x+0 <= 0 // - 0

6999*x <= 0 // : 6999

x <= 0/6999

x <= 0

( 7000-x )

7000-x <= 0

-x <= -7000 // * -1

x >= 7000

(-oo:0)(0:7000)(7000:+oo)6999*x-++7000-x++-

6999*x = 0

6999*x = 0

6999*x = 0 // : 6999

x = 0

x in (0:7000)

-5.376 = ln((7000-x)/(6999*x)) // - ln((7000-x)/(6999*x))

-ln((7000-x)/(6999*x))-5.376 = 0

-ln((7000-x)/(6999*x))-5.376 = 0 // + 5.376

-ln((7000-x)/(6999*x)) = 5.376

-ln((7000-x)/(6999*x)) = 5.376 // * -1

ln((7000-x)/(6999*x)) = ln(e^-5.376)

(7000-x)/(6999*x) = e^-5.376

(7000-x)/(6999*x)-e^-5.376 = 0

(7000-x)/(6999*x)+(6999*(-e^-5.376)*x)/(6999*x) = 0

6999*(-e^-5.376)*x-x+7000 = 0

(6999*(-e^-5.376)-1)*x+7000 = 0

((6999*(-e^-5.376)-1)*x+7000)/(6999*x) = 0

((6999*(-e^-5.376)-1)*x+7000)/(6999*x) = 0 // * 6999*x

(6999*(-e^-5.376)-1)*x+7000 = 0

(6999*(-e^-5.376)-1)*x+7000 = 0 // - 7000

(6999*(-e^-5.376)-1)*x = -7000 // : 6999*(-e^-5.376)-1

x = -7000/(6999*(-e^-5.376)-1)

x = -7000/(6999*(-e^-5.376)-1)

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